## dedicated to the fond memory of burrill b. crohn We prove that given two disjoint compact sets K 1 and K 2 in the complex plane, without any holes in them, there exists a sequence p n (z) of rational functions, all of them satisfying one and the same algebraic differential equation, such that p
Functions Which Satisfy Abel's Differential Equation
โ Scribed by P. R. Vein
- Book ID
- 124876221
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1967
- Tongue
- English
- Weight
- 352 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0036-1399
- DOI
- 10.2307/2946199
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
If f is an entire function and satisfies a certain differential equation, then it is shown that f is of bounded index. This extends a theorem of 5. M. Shah.
which are entire functions, for growth problems\_ All such functions, when they satisfy a class of differential equations, are of bounded index and exponential type, and their components are also of bounded index\_
Based on the coefficients of two homogeneous linear differential equations, a method is proposed to construct a third homogeneous linear differential equations which is satisfied by all products of the form uv, where u and v satisfy, respectively, the first and the second given differential equation